The Definitions, Postulates, Axioms, And Enunciations Of The Propositions Of The First Six, And The Eleventh And Twelfth Books Of Euclid�������s Elements Of Geometry (1848) is a book written by Euclid, a Greek mathematician who is widely considered as the father of geometry. This book is a collection of the fundamental concepts, principles, and statements that form the basis of Euclidean geometry. It includes the definitions of basic terms such as point, line, angle, and circle, as well as the postulates, axioms, and enunciations of the propositions that are presented in the first six, eleventh, and twelfth books of Euclid's Elements of Geometry. These propositions cover a wide range of topics, including the properties of triangles, circles, and other geometric figures, as well as the principles of proportionality, similarity, and congruence. The book is intended for students and scholars of mathematics who are interested in exploring the foundations of Euclidean geometry and its applications in various fields of science and engineering.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
Euclid (Ancient Greek: Εὐκλείδης Eukleidēs -- "Good Glory", ca. 365-275 BC) also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Stoicheia (Elements) is a 13-volume exploration all corners of mathematics, based on the works of, inter alia, Aristotle, Eudoxus of Cnidus, Plato, Pythagoras. It is one of the most influential works in the history of mathematics, presenting the mathematical theorems and problems with great clarity, and showing their solutions concisely and logically. Thus, it came to serve as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor. He is sometimes credited with one original theory, a method of exhaustion through which the area of a circle and volume of a sphere can be calculated, but he left a much greater mark as a teacher.